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A general Hamiltonian approach to black hole thermodynamics is used to study entropy and conserved charges for Kerr-AdS solutions in general relativity. These thermodynamic variables are first consistently defined by choosing suitable…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Milutin Blagojević , Branislav Cvetković

We give a review, in the style of an essay, of the author's 1998 matter-gravity entanglement hypothesis which, unlike the standard approach to entropy based on coarse-graining, offers a definition for the entropy of a closed system as a…

General Relativity and Quantum Cosmology · Physics 2016-02-26 Bernard S. Kay

A key test of any quantum theory of gravity is its ability to reproduce the known thermodynamic properties of black holes. A statistical mechanical description of the Bekenstein-Hawking entropy once seemed remote, but today we suffer an…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Steven Carlip

The supersymmetric flow equations describing the flow of moduli from infinity to the black hole horizon, and vice versa, are derived in the five-dimensional theories where the moduli space of the very special geometry has disjoint branches.…

High Energy Physics - Theory · Physics 2009-10-31 Renata Kallosh

By regarding the Einstein equations as equation(s) of state, we demonstrate that a full cohomogeneity horizon first law can be derived in horizon thermodynamics. In this approach both the entropy and the free energy are derived concepts,…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Devin Hansen , David Kubiznak , Robert Mann

We argue that the equations of motion of quantum field theories in curved backgrounds encode new fundamental black hole thermodynamic relations. We define new entropy variation relations. These `emerge' through the monodromies that capture…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Alex Chanson , Jacob Ciafre , Maria J. Rodriguez

We argue in this paper that the entropy of the BH is located in the BH singularity and that the localization around the event horizon is perhaps a secondary effect. We show in particular that the dependence of the entropy located in the…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Manfred Requardt

Black holes are some of the most interesting objects in the universe. While they first arise in the complicated behavior of general relativity, the physical laws ruling their behavior are surprisingly simple. For example, one of the core…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Caio César Rodrigues Evangelista , Níckolas de Aguiar Alves

A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2) invariant formulation where the (effective)…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti

The nonextensive nature of black holes is one of the most intriguing discoveries. In fact, the black hole entropy is a nonextensive quantity that scales by its surface area at the event horizon. In our work, we extend the thermodynamic…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Ratchaphat Nakarachinda , Chatchai Promsiri , Lunchakorn Tannukij , Pitayuth Wongjun

We propose new bounds on black hole entropy in terms of the specific heat at fixed charges. For special spherically-symmetric and static black holes ($g_{tt} g_{rr}=-1$), we prove the bounds with suitable sufficient energy conditions. For…

General Relativity and Quantum Cosmology · Physics 2025-07-25 Kai-Peng Lu , H. Lu

The entropy of a quantum-statistical system which is classically approximated by a general stationary eternal black hole is studied by means of a microcanonical functional integral. This approach opens the possibility of including…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erik A. Martinez

I describe how gravitational entropy is intimately connected with the concept of gravitational heat, expressed as the difference between the total and free energies of a given gravitational system. From this perspective one can compute…

General Relativity and Quantum Cosmology · Physics 2022-10-12 R. B. Mann

We consider a possibility that the entropy of a Schwarzschild black hole has two different interpretations: The black hole entropy can be understood either as an outcome of a huge degeneracy in the mass eigenstates of the hole, or as a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Makela , P. Repo

Entanglement entropy is often speculated as a strong candidate for the origin of the black-hole entropy. To judge whether this speculation is true or not, it is effective to investigate the whole structure of thermodynamics obtained from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shinji Mukohyama , Masafumi Seriu , Hideo Kodama

In this paper, we consider $(n+1)$-dimensional topological dilaton de Sitter black holes with power-Maxwell field as thermodynamic systems. The thermodynamic quantities corresponding to the black hole horizon and the cosmological horizon…

High Energy Physics - Theory · Physics 2021-05-26 Hui-Hua Zhao , Li-Chun Zhang , Ying Gao , Fang Liu

The generalized second law of thermodynamics states that entropy always increases when all event horizons are attributed with an entropy proportional to their area. We test the generalized second law by investigating the change in entropy…

Astrophysics · Physics 2009-11-07 Tamara M. Davis , P. C. W. Davies , Charles H. Lineweaver

Based on the consideration that the black hole horizon and the cosmological horizon of Reissner-Nordstr\"om black hole in de Sitter space are not independent each other, we conjecture the total entropy of the system should have an extra…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Li-Chun Zhang , Ren Zhao , Meng-Sen Ma

Using simple conditions drawn from the stability of the cosmos in terms of vacuum energy density, the cut-off momentum of entanglement is related to the planckian mass. In so doing the black hole entropy is shown to be independent of the…

General Relativity and Quantum Cosmology · Physics 2009-03-20 R. Brout

The entropy force is the collective effect of inhomogeneity in disorder in a statistical many particle system. We demonstrate its presumable effect on one particular astrophysical object, the black hole. We then derive the kinetic equations…

Statistical Mechanics · Physics 2019-09-24 R. A. Treumann , Wolfgang Baumjohann